# How do you solve -3(x+3)>7.5?

Apr 9, 2016

$\implies x < - \frac{1}{2}$

#### Explanation:

Straight away let’s get rid of the decimal.

Multiply both sides by 10

$- 30 \left(x + 3\right) > 75$

Divide both sides by 30

$- \left(x + 3\right) > \frac{75}{30}$

Multiply both sides by (-1) . Note that this turns the inequality round the other way

$+ \left(x + 3\right) < \frac{75}{30}$

Subtract 3 from both sides

$x < \frac{75}{30} - 3$

$\implies x < - \frac{1}{2}$